Permutations And Combinations Question 164
Question: A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is [Kerala (Engg.) 2005]
Options:
A) 140
B) 196
C) 280
D) 346
Show Answer
Answer:
Correct Answer: A
Solution:
- Number of ways for select 4 Questions out of 5 Questions. Number of ways $ ={{}^{5}}C_4=5 $ Remaining Questions =8 Remaining Questions for solving =6 \ Number of ways $ {{}^{8}}C_6=28 $ Number of total ways $ {{=}^{5}}C_4\times {{}^{8}}C_6 $ $ =5\times 28 $ $ =140 $ .
BETA
